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If root loci plots of a particular control system do not intersect the imaginary axis at any point, then the gain margin of the system will be:

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If root loci plots of a particular control system do not intersect the imaginary axis at any point, then the gain margin of the system will be:

(a) 0

(b) 0.707

(c) 1

(d) Infinite

I got this question at a job interview.

The question is from The Root Locus topic in portion The Root Locus Technique of Control Systems

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Right option is (d) Infinite

For explanation: The gain margin is the inverse of the intersection of the root loci plot to the imaginary axis and if it does not intersect then the gain margin will be infinite.

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